Intermediate Geometry : How to find x or y intercept

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #1531 : Intermediate Geometry

Find the x-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Start by putting the equation into  form, where  is the slope, and  is the y-intercept.

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be 

Plug  in for  in the equation for this line.

Now, solve for .

The x-intercept is found at .

Example Question #1532 : Intermediate Geometry

Find the x-intercept for the line .

Possible Answers:

Correct answer:

Explanation:

Start by putting the equation into  form, where  is the slope, and  is the y-intercept.

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be 

Plug  in for  in the equation for this line.

Now, solve for .

The x-intercept is found at .

Example Question #33 : X And Y Intercept

Find the x-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

Example Question #34 : X And Y Intercept

Find the x-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

Example Question #35 : X And Y Intercept

Find the x-intercept for the line .

Possible Answers:

Correct answer:

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

Example Question #36 : X And Y Intercept

Find the x-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

Example Question #37 : X And Y Intercept

Find the x-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

Example Question #261 : Coordinate Geometry

Find the y-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

Example Question #39 : X And Y Intercept

Find the y-intercept for the line .

Possible Answers:

Correct answer:

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

Example Question #40 : X And Y Intercept

Find the y-intercept of the line .

Possible Answers:

Correct answer:

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

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